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Finding the Fourth Proportional to 1,941, 2,678.42 and 1,101.78

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Solution

The fourth proportional to 1,941, 2,678.42 and 1,101.78 is: 1,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941 : 2,678.42 = 1,101.78 : x
  2. Step 2: Convert to fraction form
    1,941/2,678.42 = 1,101.78/x
  3. Step 3: Cross multiply
    1,941x = 2,678.42 × 1,101.78
  4. Step 4: Simplify right side
    1,941x = 2,951,029.59
  5. Step 5: Solve for x
    x = 2,951,029.59/1,941
  6. Step 6: Final answer
    x = 1,520.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.